101536826076 has 192 divisors, whose sum is σ = 320339712000. Its totient is φ = 27748961856.

The previous prime is 101536826033. The next prime is 101536826077. The reversal of 101536826076 is 670628635101.

101536826076 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 36 + 8 + 2 + 607 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101536826077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 792426 + ... + 911598.

It is an arithmetic number, because the mean of its divisors is an integer number (1668436000).

Almost surely, 2^101536826076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101536826076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160169856000).

101536826076 is an abundant number, since it is smaller than the sum of its proper divisors (218802885924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101536826076 is a wasteful number, since it uses less digits than its factorization.

101536826076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119230 (or 119208 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 101536826076 in words is "one hundred one billion, five hundred thirty-six million, eight hundred twenty-six thousand, seventy-six".